Support vector regression for right censored data

Yair Goldberg, Michael R. Kosorok

Research output: Contribution to journalArticlepeer-review

Abstract

We develop a unified approach for classification and regression support vector machines for when the responses are subject to right censoring. We provide finite sample bounds on the generalization error of the algorithm, prove risk consistency for a wide class of probability measures, and study the associated learning rates. We apply the general methodology to estimation of the (truncated) mean, median, quantiles, and for classification problems. We present a simulation study that demonstrates the performance of the proposed approach.

Original languageEnglish
Pages (from-to)532-569
Number of pages38
JournalElectronic Journal of Statistics
Volume11
Issue number1
DOIs
StatePublished - 2017

Keywords

  • Generalization error
  • Misspecification models
  • Right censored data
  • Support vector regression
  • Universal consistency

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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